Question
Download Solution PDFIf x = 3, find the other 2 roots of
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCalculation:
Given
⇒ x(x2 - 2) - 2(x - 3) + 3(2 - 3x) = 0
Now, x3 - 2x - 2x + 6 + 6 - 9x = 0
⇒ x3 - 13x + 12 = 0
∵ x = 3 is a root of the equation, ∴ (x - 3) = 0
If we divide (x3 - 13x + 12) from (x - 3) we will get (x2 + 3x - 4)
⇒ (x - 3)(x2 + 3x - 4) = 0
⇒ x2 + 3x - 4 = 0
⇒ (x + 4)(x - 1) = 0
⇒ x = 1, -4
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